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Finding the Fourth Proportional to 64,509.26, 89,024.85 and 35,829.26

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Solution

The fourth proportional to 64,509.26, 89,024.85 and 35,829.26 is: 49,445.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,509.26 : 89,024.85 = 35,829.26 : x
  2. Step 2: Convert to fraction form
    64,509.26/89,024.85 = 35,829.26/x
  3. Step 3: Cross multiply
    64,509.26x = 89,024.85 × 35,829.26
  4. Step 4: Simplify right side
    64,509.26x = 3,189,694,719.67
  5. Step 5: Solve for x
    x = 3,189,694,719.67/64,509.26
  6. Step 6: Final answer
    x = 49,445.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.